If we consider the following integral along the closed path in the w-plane 





then, the integral over F = Re vanishes as R ->- °=, and Equation (A. 4) becomes 



kz+iky 



k-K 



dk = e 



iK(y-iz) 



2TTi- 



,iK(y-iz) 



dw 



= e^^^^ ^^-* [2^i+E^(Kz+iKy)] 



(A. 5) 



When y < 0, the integral path is given in the following figure 



k-PLANE 



iK(y-iz) 



w-PLANE 



and the first term of Equation (A.l) becomes 



00 co-j-2_co 



iK(y-iz) -w 



dw 



iK(y-iz) 



(A. 6) 



If we consider that the following integral along the closed path is in the w-plane. 



50 



